Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bc |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
65304900 = 22 · 33 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143,-493] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:51:8] |
Generators of the group modulo torsion |
j |
11899199187/2418700 |
j-invariant |
L |
12.131857786965 |
L(r)(E,1)/r! |
Ω |
1.4010503257622 |
Real period |
R |
2.1647790918809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570f1 |
Quadratic twists by: -3 |